For reasons more fully explained below, we find the finality clause of this contract bars the employees' suit against the Company because the Union's alleged breach of its DFR-a bad faith failure to appeal the arbitrator's untainted award-does not "seriously undermine the integrity of the abritral process." Hines v. Anchor Motor Freight, Inc., 424 U.S. 554, 567, 96 S.Ct. 1048, 1057, 47 L.Ed.2d 231 (1976); see Anderson v. Grocers Supply Co., S.D.Tex., 1979, 483 F. Supp. 73, 77. As a corollary, we hold that as a matter of law, the Union's failure to appeal from a fairly conducted arbitration hearing is not a breach of its duty of fair representation.